765651040 has 192 divisors, whose sum is σ = 2334044160. Its totient is φ = 230307840.

The previous prime is 765650993. The next prime is 765651041. The reversal of 765651040 is 40156567.

It is a happy number.

It is a super-3 number, since 3×765651040³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 765650987 and 765651005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765651041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356209 + ... + 358351.

It is an arithmetic number, because the mean of its divisors is an integer number (12156480).

Almost surely, 2^765651040 is an apocalyptic number.

765651040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167022080).

765651040 is an abundant number, since it is smaller than the sum of its proper divisors (1568393120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

765651040 is a wasteful number, since it uses less digits than its factorization.

765651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 765651040 is about 27670.4000693882. The cubic root of 765651040 is about 914.8367989061.

The spelling of 765651040 in words is "seven hundred sixty-five million, six hundred fifty-one thousand, forty".